Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.1 - Rational Expressions and Their Simplification - Exercise Set - Page 491: 20

Answer

The expression is defined for all real numbers x.

Work Step by Step

Rational expressions indicate division and division by zero is undefined. We must exclude any value or values of the variable that make a denominator zero. The denominator, $x^{2}+4$ never yields zero because $x^{2}$ is a number that is nonnegative, and it is added to 4... The expression is defined for all real numbers x.
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